List questions from definite-integrals

Published on 12 Mar 2026 - 5:14

107

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The definite integral of $\int_0^u \ln(ax)/\sqrt{u-x}\,dx$

Published on 12 Mar 2026 - 8:17

211

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Is it possible to find an upper bound on the moment generating function of $\sqrt{|X|}$, where $X\sim \mathcal{N}(0,1)$?

Published on 09 Apr 2026 - 2:53

469

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Integrand of a double integral

Published on 08 Apr 2026 - 23:09

71

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Proving that a double integral converges

Published on 09 Apr 2026 - 0:02

83

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Limit of a definite integral with parameter (2)

Published on 27 Mar 2026 - 17:25

107

Views

How get a good approximation of integrals involving the gamma function, exponentials and the fractional part?

Published on 09 Apr 2026 - 23:20

1.9k

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How to change integral bounds from [a,b] to [c,d]?

Published on 12 Mar 2026 - 0:34

509

Views

Simple, yet evasive integral from zero to $\pi/2$

Published on 12 Mar 2026 - 3:53

68

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$\lim_{n\to \infty}\sum_{j=0}^{[n/2]} \frac{1}{n} f\left( \frac{j}{n}\right)$

Published on 09 Apr 2026 - 0:08

1k

Views

Evaluating the integral $\int_0^{2\pi}e^{-\sqrt{a-b\cos t}}\mathrm dt$

Published on 09 Apr 2026 - 1:56

47

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Find $\frac{dy}{dx}$ ($y$ given in terms of a definite integral)

Published on 12 Mar 2026 - 5:47

64

Views

Determining the sign of an integral using the mean value theorem.

Published on 09 Apr 2026 - 9:13

123

Views

When we can change maximization with integration?

Published on 05 Apr 2026 - 21:28

102

Views

Evaluating $\int_0^1 \sqrt{1-x^2}\cos(ax) dx$

Published on 12 Mar 2026 - 4:22

List Question

Definite integral of $\sin x\cos x$ from $0$ to $2\pi$?

The definite integral of $\int_0^u \ln(ax)/\sqrt{u-x}\,dx$

Is it possible to find an upper bound on the moment generating function of $\sqrt{|X|}$, where $X\sim \mathcal{N}(0,1)$?

Integrand of a double integral

Proving that a double integral converges

Limit of a definite integral with parameter (2)

How get a good approximation of integrals involving the gamma function, exponentials and the fractional part?

How to change integral bounds from [a,b] to [c,d]?

Simple, yet evasive integral from zero to $\pi/2$

$\lim_{n\to \infty}\sum_{j=0}^{[n/2]} \frac{1}{n} f\left( \frac{j}{n}\right)$

Evaluating the integral $\int_0^{2\pi}e^{-\sqrt{a-b\cos t}}\mathrm dt$

Find $\frac{dy}{dx}$ ($y$ given in terms of a definite integral)

Determining the sign of an integral using the mean value theorem.

When we can change maximization with integration?

Evaluating $\int_0^1 \sqrt{1-x^2}\cos(ax) dx$

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